GATE XE (Engineering Sciences) 2007 - Question 88

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Section: Thermodynamics | Marks: 1

One kilogram of a perfect gas at $15^\circ\text{C}$ and $100\text{ kPa}$ is heated to $45^\circ\text{C}$ by (i) a constant pressure process and (ii) a constant volume process. $c_p$ of the gas $= 1.042\text{ kJ/kg}\cdot\text{K}$ and $R = 0.2968\text{ kJ/kg}\cdot\text{K}$. Heat added in the constant pressure ($Q_p$) and constant volume ($Q_v$) processes are

  • A. $Q_p = 31.26\text{ kJ}$, $Q_v = 22.35\text{ kJ}$
  • B. $Q_p = 22.35\text{ kJ}$, $Q_v = 31.26\text{ kJ}$
  • C. $Q_p = 31.26\text{ kJ}$, $Q_v = 31.26\text{ kJ}$
  • D. $Q_p = 22.35\text{ kJ}$, $Q_v = 0\text{ kJ}$

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