13. An ideal heat engine whose low temperature reservoir is at 10.0°C has an eff

Question

13. An ideal heat engine whose low temperature reservoir is at 10.0°C has an efficiency of 40%. What is the high temperature? b) a) By how much sh efficiency to 50%? ould the temperature of the high temperature reservoir be increased to increase the 14. A football kicker can give the ball an initial speed of 38.0 m/s. Within what two elevation angles must he kick the ball to score a field goal from a point 60.0 m in front of goalposts whose horizontal bar is 5.00 m above the ground? 38 m/s 5.0 m 60.0 m

Explanation / Answer

Here,

13)

low temperature , Tc = 10 degree C = 283 K

efficiency = 40 % = 0.40

a)let the high temperature is Th

0.40 = (Th - Tc)/Th

0.40 = (Th - 283)/Th

solving for Th

Th = 471.7 K = 199 degree C

the high temperature is 199 degree C

b)

let the temperature needed is Th

0.50 = (Th - Tc)/Th

0.50 = (Th - 283)/Th

solving for Th

Th = 566 K

increase in high temperature needed = 566 - 471.7

increase in high temperature needed = 94.3 K = 94.3 degree C

the increase in high temperature needed is 94.3 degree C

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