Ncert Exercises & Solutions

11.11 The coefficient of volume expansion of glycerine is $49 \times 10^{- 5} K^{- 1}$ . What is the fractional change in its density for a 30 °C rise in temperature?

Coefficient of volume expansion of glycerin, $α_{V}$ = 49 × 10 $^{- 5} K^{- 1}$

Rise in temperature, ΔT = 30°C

The fractional change in its volume = $\frac{∆ V}{V}$

So,

$\frac{∆ V}{V} = α_{v} ∆ T \Rightarrow V_{T_{2}} - V_{T_{1}} = V_{T_{1}} α ∆ T \Rightarrow \frac{m}{ρ_{T_{2} -}} - \frac{m}{ρ_{T_{1}}} = \frac{m}{ρ} α_{V} ∆ T$

where m = mass of glycerine

$ρ_{T_{1}}$ = Initial density at T $_{1}$

$ρ_{T_{2}}$ =Final density at T $_{2}$

$\Rightarrow \frac{ρ_{T_{1}} - ρ_{T_{2}}}{ρ_{T_{2}}} = α_{v} ∆ T$

$∴$ Fractional change in the density of glycerin = 49 ×10 $^{- 5}$ × 30 = 1.47 × 10 $^{- 2}$

NEET Information

courses

Company

Botany Questions

Chemistry Questions

Physics Questions

Zoology Questions