(1) Name the most important implication for life on Earth that stems from the fa

Question

(1) Name the most important implication for life on Earth that stems from the fact that the specific heat of ice is lower than the specific heat of water.

(2)Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation P V = C, where C is a constant. Suppose that at a certain instant the volume is 600 cm3, the pressure is 150 kPa, and the pressure is increasing at a rate of 20 kPa/min. At what rate is the volume decreasing at this instant?

Explanation / Answer

1)

Since water has greater specific heat than ice so it is more difficult to change the temperature of water than ice. And this is the reason why our body temperature is default to change quickly and hence brain can do its job well to maintain body temperature constant.

2)

P=150kPa, V=600cm^2

dP/dt = 20kPa/min

PV=C

Take derivative both sides,

d/dt(PV)=d/dt©

P*dV/dt + V*dP/dt = dC/dt

Since C=constant dC/dt=0

P*dV/dt + V*dP/dt = 0

dV/dt = - (V*dP/dt)/P

dV/dt = -(V/P)*dP/dt

Plugging values,

dV/dt = -(600/150)*20

dV/dt = -80m^3/min

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