The amount of heat needed to raise the temperature of 2 moles of an ideal monoatomic gas from $273 K$ to $373 K$ , when no work is done is ( $R$ = universal gas constant)

100 R

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150 R

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300 R

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500 R

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Solution

The correct option is C $300 R$
For monoatomic gas, $C_{v} = \frac{3}{2} R$
$d Q = d U + d W$
When no work is done, $d W = 0$
$d Q = d U = n C_{v} d T$
$d Q = 2 \times \frac{3}{2} R \times (373 - 273) = 300 R$

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The amount of heat needed to raise the temperature of 2 moles of an ideal monoatomic gas from 273 K to 373 K, when no work is done is (R = universal gas constant)

The correct option is C 300 RFor monoatomic gas, Cv=32R dQ=dU+dW When no work is done, dW=0 dQ=dU=nCvdT dQ=2×32R×(373−273)=300R

The amount of heat needed to raise the temperature of 2 moles of an ideal monoatomic gas from $273 K$ to $373 K$ , when no work is done is ( $R$ = universal gas constant)

The correct option is C $300 R$
For monoatomic gas, $C_{v} = \frac{3}{2} R$
$d Q = d U + d W$
When no work is done, $d W = 0$
$d Q = d U = n C_{v} d T$
$d Q = 2 \times \frac{3}{2} R \times (373 - 273) = 300 R$