A heat pump has a coefficient of performance of 4.5. If the heat pump absorbs 46.1 cal of heat from the cold outdoors in each cycle, what is the amount of heat expelled to the warm indoors?
(in cal)
An Otto engine has a maximum efficiency of 33.1 %; find the compression ratio. Assume that the gas is diatomic.
To find the amount of heat expelled to the warm indoors, we can use the formula for the coefficient of performance (COP) of a heat pump.
COP = Q_h / Q_c
Where:
COP is the coefficient of performance
Q_h is the heat absorbed from the hot reservoir (warm indoors)
Q_c is the heat expelled to the cold reservoir (cold outdoors)
We are given that the COP is 4.5 and the heat absorbed from the cold outdoors (Q_c) is 46.1 cal. We need to find the heat expelled to the warm indoors (Q_h).
By rearranging the formula, we get:
Q_h = COP * Q_c
Substituting the given values, we have:
Q_h = 4.5 * 46.1 cal
Q_h = 207.45 cal
Therefore, the amount of heat expelled to the warm indoors is 207.45 cal.