Question 27

A gas based geyser heats water flowing at the rate of 5.0 litres per minute from 27°C to 87°C. The rate of consumption of the gas is ___ g/s. (take heat of combustion of $$gas=5.0\times10^{4}J/g$$) specific heat capacity of water =4200 J/ kg.°C

Flow rate = 5 L/min = 5 kg/min (water). Temp rise = 87 - 27 = 60°C.

Heat required per minute: $$Q = mc\Delta T = 5 \times 4200 \times 60 = 1260000$$ J/min = 21000 J/s.

Rate of gas consumption: $$\frac{21000}{50000} = 0.42$$ g/s.

The answer is Option 1: 0.42 g/s.

Create a FREE account and get:

Download resources