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10-1.Thermometry, Thermal Expansion and Calorimetry
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In a calorimeter of water equivalent $20 \,g$, water of mass $1.1 \,kg$ is taken at $288 \,K$ temperature. If steam at temperature $373 \,K$ is passed through it and temperature of water increases by $6.5^{\circ} C$ then the mass of steam condensed is ............ $g$
A
$17.5$
B
$11.7$
C
$15.7$
D
$18.2$
Solution

(b)
Let mass of steam that gets condenced while the temperature of water is raised by $6.5^{\circ} C =x g$
So, heat released by steam $=540 x \,cal +x \times 1 \times 78.5[Q=m L+m s \Delta T]$
This heat goes to the water $+$ calorimeter system
$Q$ required by water $=1100 \times 1 \times 6.5=7150 \,cal$
$Q$ required by calorimeter $=20 \times 1 \times 6.5=130 \,cal$
$Q_{\text {relessed }}=Q_{\text {required }}$
$78.5 x+540 x=7150+130$
$x=11.7 \,g$
Standard 11
Physics