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1.At least how many Calories does a mountain climber need to climb from sea leve

ID: 1361437 • Letter: 1

Question

1.At least how many Calories does a mountain climber need to climb from sea level to the top of a 4.22 km tall peak assuming the muscles of the climber can convert chemical energy to mechanical energy with an efficiency of 14.0 percent. The total mass of the climber and the equipment is 78.6 kg. (Enter your answer as a number without units.)

2. What is the specific heat of a substance if a 46.1-g sample increases in temperature by 18.0°C when it absorbs 790.0 J of heat?

The dimensions of specific heat are : energy/mass/temperature.
(Temperature units can be expressed as either "K" or "degC")

Explanation / Answer


PE = mgh = 78.6*9.8*4220

PE =3.25 e 6 Joules of mechanical energy is needed

since efficiency is 14 percent

we need 3330353.6 * 0.14 Joules of chemical energy

e = 4.55 e 5 Joules

as 1 cal = 4.2 Joules

ans = 4.55 e 5 /4.2 = 1.08 e 5


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use HEat Q = mc DT

specific heat c = Q/mDT

c = 790/(0.0461 * 18)

c = 952.036 J/kg degC

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