If R is universal gas constant, the amount of heat needed to raise the temperature of $2 m o l e s$ of an ideal monoatomic gas from $273 K t o 373 K$ when no work is done

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 D $300 R$
Since no work is done its a isochoric process .
since its a monoatomic gas,its degree of freedom is 3.
$C_{v}$ = $\frac{f R}{2}$ = $\frac{3 R}{2}$
For isochoric process ,
$Q = n C_{v}$ $Δ T = 2 \times \frac{3 R}{2} \times (373 - 273) = 300 R$

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If R is universal gas constant, 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

The correct option is D 300RSince no work is done its a isochoric process . since its a monoatomic gas,its degree of freedom is 3. Cv = fR2 = 3R2For isochoric process ,Q=nCvΔT=2×3R2×(373−273)=300R

If R is universal gas constant, the amount of heat needed to raise the temperature of $2 m o l e s$ of an ideal monoatomic gas from $273 K t o 373 K$ when no work is done

The correct option is D $300 R$
Since no work is done its a isochoric process .
since its a monoatomic gas,its degree of freedom is 3.
$C_{v}$ = $\frac{f R}{2}$ = $\frac{3 R}{2}$
For isochoric process ,
$Q = n C_{v}$ $Δ T = 2 \times \frac{3 R}{2} \times (373 - 273) = 300 R$