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An electric heater with constant heat supply rate is used to convert a certain amount of liquid ammonia to saturated vapour at high pressure. The heater takes 14 minutes to bring the liquid at 15°C to the boiling point of 50°C and 92 minutes to convert the liquid at the boiling point wholly to vapour. If the specific heat capacity of liquid ammonia is 4.9 kJ/kg K, the latent heat of vaporization of ammonia in kJ/kg is

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a

557

b

2250

c

981

d

1127

answer is C.

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Detailed Solution

Let mass of liquid ammonia taken is m and rate of heat supplied is r. Then as per given condition,
$r \times 14 = m \times 4.9 \times (50 - 15)$ and $r \times 92 = m L$
Dividing these, we get
$\frac{92}{14} = \frac{1}{4.9 \times (50 - 15)}$ or $L = \frac{92 \times 4.9 \times 35}{14}$
= 1127 kJ/kg

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An electric heater with constant heat supply rate is used to convert a certain amount of liquid ammonia to saturated vapour at high pressure. The heater takes 14 minutes to bring the liquid at 15°C to the boiling point of 50°C and 92 minutes to convert the liquid at the boiling point wholly to vapour. If the specific heat capacity of liquid ammonia is 4.9 kJ/kg K, the latent heat of vaporization of ammonia in kJ/kg is