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  • The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0°C to 50°C when no work is done is _______. (R is the universal gas constant)  Option: 1 250 ROption: 2 750 ROp

The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0°C to 50°C when no work is done is _______. (R is the universal gas constant)
 
Option: 1 250 R
Option: 2 750 R
Option: 3 175 R  
Option: 4 500 R

Answers (1)

best_answer

n=4 \mathrm{~mol}

Given gas is rigid diatomic gas.

\begin{aligned} \therefore f &=5 \\ \Delta T &=50 \\ W &=0 \end{aligned}

From the first law of thermodynamics

\begin{aligned} &Q=\Delta U+W . \\ &Q=\Delta U+O=\Delta U=\frac{\eta R \Delta T}{\gamma-1}=\frac{n f R \Delta T}{2} \end{aligned}

                                              \begin{aligned} &=\frac{4 \times 5 \times R \times 50}{2} \\ Q &=500 R \end{aligned}

Hence, the correct option is (4)

Posted by

vishal kumar

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