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With what minimum pressure $(in kPa),$ a given volume of an ideal gas $(C_{p, m} = 7 / 2 R),$ Originally at $400 K and 100 kPa$ pressure can be compressed irreversibly adiabatically in order to raise its temperature to $600 K:$

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$362.5 kPa$

$275 kPa$

$437.5 kPa$

$550 kPa$

answer is B.

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Detailed Solution

For adiabatic irreversible compression ${ΔU=W, nC}_{v,m} (T_{2} {-T}_{1}) = - P_{2} [\frac{n R T_{2}}{P_{2}} - \frac{n R T_{1}}{P_{1}}]$

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