A geyser heats water flowing at the rate of 3 kg per minute from `27^(@)C` to `77^(@)C` . If the geyser operates on a gas burner, what is the rate of consumption of fuel if the heat of combustion is `4 xx 10^(4) J//g?` Given specific heat of water is `4.2 xx 10^(3) J//kg//K`.

Explanation

To solve the problem step by step, we will calculate the rate of consumption of fuel required to heat water in a geyser.

### Step 1: Identify the given data
- Mass flow rate of water, \( m = 3 \, \text{kg/min} \)
- Initial temperature, \( T_1 = 27^\circ C \)
- Final temperature, \( T_2 = 77^\circ C \)
- Specific heat of water, \( C = 4.2 \times 10^3 \, \text{J/kg/K} \)
- Heat of combustion of fuel, \( H_c = 4 \times 10^4 \, \text{J/g} \)
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