what happens to a given mass of water as it is heated from 2oc to 4oc?

Specific Gravity (= Relative Density) - SG - is a dimensionless unit defined as the ratio of the density of a substance to the density of a reference substance - at a specified temperature and pressure, and can be expressed equally

SG = ρ_substance / ρ_reference (3)

where

SG = Specific Gravity of the substance

ρ_substance = density of the fluid or substance [kg/chiliad³]

ρ_reference = density of the reference [kg/mⁱⁱⁱ]

It is virtually common to employ the density of water at iv ^oC (39^oF) as a reference since h2o at this signal has its highest density of 1000 kg/thousand ³ or 1.940sl/ft^three . Still, also the density at 60 °F (xv.6°C) or 20 °C is often used as the reference temperature, e.one thousand. related to crude oils and petroleum products.  Water is usually also used as reference when computing the specific gravity for solids. For gases it is air at room temperature (25°C). Pressure is nearly always 1 atm (101.325 kPa). The temperature and pressure must always be specified for both the sample and the reference.

Specific Gravity - SG -  is dimensionless and has the same value in the SI system and the Purple English language system (BG).

Specific gravity of liquid h2o ranging 32 - 700 ^oF and 0 - 370 ^oC is given in figures and tables below:

See H2o and Heavy Water - thermodynamic backdrop.
Run across likewise WaterHumid points at high pressure, Boiling points at vacuum pressure, Density, specific weight and thermal expansion coefficient, Dynamic and kinematic viscosity, Enthalpy and entropy, Heat of vaporization, Ionization Constant, pK_west, of normal and heavy water, Melting points at high pressure, Saturation pressure, Specific heat (heat capacity) and Specific volume for online calculatores, and like figures and tables as shown below.

Specific gravity (SG) for h2o is given for four unlike reference temperatures (4, 15, xv.6 and 20°C).
From 0 to 100°C the pressure is i atm, and for temperatures >100°C, the pressure is equal to water saturation pressure.

Temperature	Pressure	Density	SG at reference temperature
[°C]		[g/cm3]	4 °C	15 °C	15.6°C ( 60 °F )	xx °C
0.1	1 atm 14.7 psi 101.3 kPa	0.999850	0.99987	1.00075	one.00083	1.00165
1		0.999902	0.99993	1.00080	i.00089	i.00170
four		0.999975	one.00000	one.00087	one.00096	one.00177
ten		0.999703	0.99973	one.00060	1.00069	ane.00150
fifteen		0.999103	0.99913	1.00000	1.00009	i.00090
20		0.998207	0.99823	0.99910	0.99919	1.00000
25		0.997047	0.99707	0.99794	0.99803	0.99884
thirty		0.995649	0.99567	0.99654	0.99663	0.99744
35		0.99403	0.9941	0.9949	0.9950	0.9958
40		0.99222	0.9922	0.9931	0.9932	0.9940
45		0.99021	0.9902	0.9911	0.9912	0.9920
50		0.98804	0.9881	0.9889	0.9890	0.9898
55		0.98569	0.9857	0.9866	0.9867	0.9875
60		0.98320	0.9832	0.9841	0.9842	0.9850
65		0.98055	0.9806	0.9814	0.9815	0.9823
70		0.97776	0.9778	0.9786	0.9787	0.9795
75		0.97484	0.9749	0.9757	0.9758	0.9766
80		0.97179	0.9718	0.9727	0.9727	0.9735
85		0.96861	0.9686	0.9695	0.9696	0.9704
90		0.96531	0.9653	0.9662	0.9663	0.9670
95		0.96189	0.9619	0.9628	0.9628	0.9636
99		0.95907	0.9591	0.9599	0.9600	0.9608
99.974		0.95837	0.9584	0.9592	0.9593	0.9601
[°C]	Pressure = saturation pressure level [kPa]	[yard/cmiii]	four °C	15 °C	15.6°C   ( 60 °F )	20 °C
100	101.4	0.9584	0.9584	0.9592	0.9593	0.9601
110	143.4	0.9510	0.9510	0.9518	0.9519	0.9527
120	198.nine	0.9431	0.9431	0.9440	0.9440	0.9448
140	362.3	0.9261	0.9262	0.9270	0.9270	0.9278
160	620.1	0.9075	0.9075	0.9083	0.9083	0.9091
180	1003	0.8870	0.8870	0.8878	0.8879	0.8886
200	1553	0.8647	0.8647	0.8654	0.8655	0.8662
220	2318	0.8402	0.8402	0.8410	0.8410	0.8417
240	3347	0.8134	0.8134	0.8141	0.8142	0.8148
260	4694	0.7836	0.7836	0.7843	0.7844	0.7850
280	6419	0.7503	0.7503	0.7510	0.7510	0.7516
300	8588	0.7121	0.7122	0.7128	0.7128	0.7134
320	11281	0.6671	0.6671	0.6677	0.6677	0.6683
340	14600	0.6107	0.6107	0.6112	0.6113	0.6118
360	18672	0.5276	0.5276	0.5281	0.5281	0.5285
374	22043	0.322	0.322	0.322	0.322	0.323

Specific gravity (SG) for h2o is given for four different reference temperatures (39.two, 59, 60 and 68°F).
From 32 to 212°F the pressure is fourteen.seven psi, and for temperatures >212°F, the force per unit area is equal to water saturation pressure level.

Temperature	Force per unit area	Density	SG at refence temperatures
[°F]		[lbm/ft3]	39.2°F	59°F ( 15°C )	60°F	68°F ( 20°C )
32.2	14.7 psi 101.3 kPa 1 atm	62.418	0.9999	1.0007	1.0008	ane.0016
34		62.422	0.9999	1.0008	1.0009	1.0017
39.2		62.426	1.0000	1.0009	one.0010	one.0018
50		62.409	0.9997	1.0006	1.0007	1.0015
threescore		62.366	0.9990	0.9999	i.0000	1.0008
70		62.301	0.9980	0.9989	0.9990	0.9998
80		62.215	0.9966	0.9975	0.9976	0.9984
xc		62.109	0.9949	0.9958	0.9959	0.9967
100		61.993	0.9931	0.9939	0.9940	0.9948
110		61.860	0.9909	0.9918	0.9919	0.9927
120		61.712	0.9886	0.9894	0.9895	0.9903
130		61.551	0.9860	0.9868	0.9869	0.9877
140		61.379	0.9832	0.9841	0.9842	0.9850
150		61.194	0.9803	0.9811	0.9812	0.9820
160		61.000	0.9772	0.9780	0.9781	0.9789
170		sixty.795	0.9739	0.9747	0.9748	0.9756
180		60.579	0.9704	0.9713	0.9713	0.9721
190		lx.354	0.9668	0.9677	0.9677	0.9685
200		60.121	0.9631	0.9639	0.9640	0.9648
210		59.878	0.9592	0.9600	0.9601	0.9609
211.95		59.829	0.9584	0.9592	0.9593	0.9601
[°F]	Pressure = saturation force per unit area [psi]	[lbchiliad/ft3]	39.2°F	59°F ( 15°C )	60°F	68°F ( 20°C )
220	17.ii	59.63	0.9552	0.9560	0.9561	0.9569
240	25.0	59.10	0.9467	0.9475	0.9476	0.9484
260	35.5	58.53	0.9375	0.9384	0.9384	0.9392
280	49.3	57.93	0.9279	0.9287	0.9288	0.9296
300	67.three	57.29	0.9177	0.9185	0.9186	0.9193
350	135	55.59	0.8905	0.8913	0.8914	0.8921
400	247	53.67	0.8598	0.8606	0.8606	0.8613
450	422	51.45	0.8242	0.8250	0.8250	0.8257
500	681	48.92	0.7837	0.7843	0.7844	0.7850
550	1045	45.95	0.7360	0.7367	0.7367	0.7373
600	1542	42.36	0.6786	0.6792	0.6793	0.6798
625	1851	twoscore.12	0.6426	0.6432	0.6433	0.6438
650	2208	37.35	0.5982	0.5988	0.5988	0.5993
675	2619	33.79	0.5412	0.5417	0.5417	0.5422
700	3092	29.07	0.4657	0.4661	0.4662	0.4666

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Source: https://www.engineeringtoolbox.com/water-temperature-specific-gravity-d_1179.html

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