The temperature of 1 mol of gas is increased by $1^{o} C$ at constant pressure. The work done is:

R

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2 R

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4 R

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none of the above

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Solution

The correct option is B $2 R$
As we know,
work done is
$W = P (Δ V)$
and ideal gas equation is
$P V = R T$
so
$P (V + Δ V) = R (T + 1)$
$∴ w = P Δ V = 2 R$

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