Assume that for a domestic hot water supply `150 kg` water per day must be heated from `10^(@)C` to `65^(@)C` and gaseous fuel propane `C_(3)H_(8)` is used for this purpose. What moles and volume of propane (in `L` at `STP)` would have to be used for heating domestic water, `DeltaH` for combustion of propane is `-2050kJ mol^(-1)` and specific heat of water is `4.184 xx 10^(-3) kJ g^(-1)`.

Explanation

To solve the problem, we need to calculate the amount of propane (C₃H₈) required to heat 150 kg of water from 10°C to 65°C. We will follow these steps:

### Step 1: Calculate the heat required to heat the water
The heat (q) required to heat water can be calculated using the formula:
\[ q = m \cdot c \cdot \Delta T \]
where:
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