A 75 degree F a can of cold soda gains 09 kJ of heat as it w

A 75 degree F, a can of cold soda gains 0.9 kJ of heat as it warms per degree C increase in its temperature. Equivalentily, what the amount of heat gain for per degree F increase in its temperature? 0.25 kJ 0.50 kJ 1.00 kJ 1.62 kJ 0.81 kJ none of the above

Solution

>> Let T1 is the initial temperature = 75°F = 23.889°C

>> Now, energy released = 0.9KJ/°C

>> To find energy released in KJ/°F, let\'s find out total energy released for a certain change in temperature

and, then by changing that temperature from °C to °F, and having total energy released,

We can easily find out the energy released per °F

>> Let, T2 = 28.889°C

>> So, Temperature increase = T2 - T1 = 28.889 - 23.889 = 5°C

>> As, energy released per °C = 0.9 KJ

=> Total energy released now = 0.9*5 = 4.5 KJ

>> Now, using Temperature in °F,

As, T1 = 23.889°C = 75°F

and, T2 = 28.889°C = 84°F

>> So, increase in Temperature in °F = 84 - 75 = 9°F

and, as total energy released = 4.5 KJ

>> So, Energy released per °F = Total Energy Released /Increase in Temperature in °F = 4.5/9 = 0.5

=> Energy rleaseed per °F = 0.5 KJ/°F .....ANSWER.....OPTION (B)....