Updated: Question in GATE 2012 Engeneering Sciences Paper with Solution

July 20, 2012

A question in GATE 2012 Engeneering Sciences Paper with Solution has been updated:

If Q_L represents the magnitude of heat transfer from a low temperature reservoir to a cyclic device and Q_H represents the magnitude of heat transfer from a cyclic device to a high temperature reservoir, then for the same $Q_L \ and \ Q_H$ , the coefficient performance of a refrigerator (COP_r) and the coefficient performance of a heat pump $(COP_{HP})$ can be related as

$COP_R. COP_{HP} = 1$
$COP_{HP} = COP_R - 1$
$COP_{HP} = COP_R + 1$
$COP_R = 1 - COP_{HP}$