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Thermal Properties of Matter

  1. The density of water at 20°C is 998 kg/m3 and at 40°C 992 kg/m³. The coefficient of volume expansion of water is
    1. 10–4/°C
    2. ​3 × 10–4/°C
    3. 2 × 10–4/°C
    4. 6 × 10–4/°C
Correct Option: B

From question,
∆ρ = (998 – 992) kg/m³ = 6 kg/m³

ρ =
998 + 992
kg/m³ = 995 kg/m³
2

ρ =
m
v

=
AV
Δρ
=
ΔV
ρVρV

∴ Coefficient of volume expansion of water,
1
ΔV
= -
ΔV
=
6
≈ 3 × 10-4/°C
VΔtρΔt995 × 20



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