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 =5.0×104 J/g) sp

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Solution

Q.
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 = $5.0 \times 10^{4}$ J/g) specific heat capacity of water = 4200 J/kg. °C [2026]

1 0.21

2 2.1

3 4.2

4 0.42

Ans.
(4)

$Water flow rate = 5 ℓ / min = \frac{5}{60} kg/s$

$∴$ $Power of heater = \frac{d m}{d t} S Δ T = \frac{1}{12} \times 4200 \times 60 W$

$∴$ $Let rate of consumption of gas be x g/s.$

$∴$ $x \times 5.0 \times 10^{4} = \frac{1}{12} \times 4200 \times 60$

$\Rightarrow x = 4200 \times 10^{- 4} = 0.42 g/s$

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