Chapter-Heat and Thermodynamics 1 Steam at 100oC is passed into 1 1kg of water contained in a calorimeter of water - Physics - Thermodynamics

Question

Chapter-Heat and Thermodynamics
1 Steam at 100 o C is passed
into 1 1kg of water contained in a calorimeter of water equivalent
0 02kg at 15 o C till the
temperature of the calorimeter rises to 80 0 C The mass of steam condensed in kilogram is
:
(a)0 13 (b)0 065 (c)0 260 (d)0 135

Ruhhi Ralhan · Accepted Answer

Dear Student,

Given:

Mass of water and calorimeter=(1.10+0.02)=1.12 kg

specific heat capacity of water=4.184×10³Jkg^-1K^-1

Now, using Q=mcΔT

heat gained by calorimeter and water,

$Q = 1.12 \times 4.184 \times 10^{3} \times 65 {Jkg}^{- 1} K^{- 1} ........ (1)$

Let the mass of steam=m kg

Latent heat of vaporization of water at 100°C=540 Cal/g=540×4.184×10³Jkg^-1

Heat lost by steam,

$Q' = m (540 \times 4.184 \times 10^{3}) + m (4.184 \times 10^{3} \times (100 - 80)) {Jkg}^{- 1} K^{- 1} ........ (2)$

now equate above two equations

$m (540 + 20) = 1.12 \times 65 m = \frac{1.12 \times 65}{560} = 0.13 kg$

Chapter-Heat and Thermodynamics 1.Steam at 100 o C is passed into 1.1kg of water contained in a calorimeter of water equivalent 0.02kg at 15 o C till the temperature of the calorimeter rises to 80 0 C . The mass of steam condensed in kilogram is : (a)0.13 (b)0.065 (c)0.260 (d)0.135

Chapter-Heat and Thermodynamics

1.Steam at 100^oC is passed into 1.1kg of water contained in a calorimeter of water equivalent 0.02kg at 15^oC till the temperature of the calorimeter rises to 80⁰C . The mass of steam condensed in kilogram is :

(a)0.13 (b)0.065 (c)0.260 (d)0.135