Heat And Thermodynamics Ques 22

  1. Steam at $100^{\circ} C$ is passed into $1.1 kg$ of water contained in a calorimeter of water equivalent $0.02 kg$ at $15^{\circ} C$ till the temperature of the calorimeter and its contents rises to $80^{\circ} C$. The mass of the steam condensed in $kg$ is

(1986, 2M)

(a) 0.130

(b) 0.065

(c) 0.260

(d) 0.135

Show Answer

Answer:

Correct Answer: 22.(a)

Solution:

Formula:

Calorimetry :

  1. Heat required $Q _1=(1.1+0.02) \times 10^{3} \times 1 \times(80-15)$

$=72800 cal$

Heat given it $m$ (in $kg$ ) steam is condensed :

$Q _2=\left(m \times 540 \times 10^{3}\right)+m \times 1 \times 10^{3} \times(100-80)$

Equating $Q _1=Q _2$, we get

$$ m=0.130 kg $$



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