0-64 g of oxygen is kept in a rigid container and is heated- Find the amount of heat needed to raise the temperature from 25- C to 35- C- The molar heat capacity of oxygen at constant volume is 20 J K -1 mol -1- A- 2 JB- 1 JC- 4 JD- 8 J

The correct option is C 4 JThe molecular weight of oxygen M=32 g/mol number of moles of the gas, n=0.64 g32 g.mol^ 1=0.02 mol Δ T=35 25=10^∘ C=10 K since diffe ...

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Standard XII

Physics

Specific Heat Capacity

0.64 g of oxy...

Question

$0.64 g$ of oxygen is kept in a rigid container and is heated. Find the amount of heat needed to raise the temperature from $25^{\circ} C$ to $35^{\circ} C$ . The molar heat capacity of oxygen at constant volume is $20 {J K}^{- 1} {mol}^{- 1}$ .

2 J

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1 J

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4 J

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8 J

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Solution

The correct option is C $4 J$
The molecular weight of oxygen $M = 32 g/mol$
number of moles of the gas,
$n = \frac{0.64 g}{32 {g.mol}^{- 1}} = 0.02 mol$
$Δ T = 35 - 25 = 10^{\circ} C = 10 K$
since difference of temperature in celcius and kelvin yields same result.
$\Rightarrow$ The amount of heat $(Q)$ is required at constant volume (because container's volume is fixed).
$\Rightarrow Q = n C_{V} Δ T$
$Q = 0.02 mol \times 20 {JK}^{- 1} {mol}^{- 1} \times 10 K$
$∴ Q = 4 J$

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Specific Heat Capacity

Standard XII Physics

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0.64 g of oxygen is kept in a rigid container and is heated. Find the amount of heat needed to raise the temperature from 25∘C to 35∘C. The molar heat capacity of oxygen at constant volume is 20 J K−1mol−1.

$0.64 g$ of oxygen is kept in a rigid container and is heated. Find the amount of heat needed to raise the temperature from $25^{\circ} C$ to $35^{\circ} C$ . The molar heat capacity of oxygen at constant volume is $20 {J K}^{- 1} {mol}^{- 1}$ .