(A) Let the mass of the first part be $m$ and the mass of the second part be $(M - m)$.Heat released by $m \ kg$ of water at $t^{\circ} C$ to become i

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) Let the mass of the first part be $m$ and the mass of the second part be $(M - m)$.Heat released by $m \ kg$ of water at $t^{\circ} C$ to become ice at $0^{\circ} C$ is:$Q_1 = m \times c \times (t - 0) + m \times L_f = m \times 1 \times t + m \times 80 = m(t + 80)$.Heat absorbed by $(M - m) \ kg$ of water at $t^{\circ} C$ to become steam at $100^{\circ} C$ is:$Q_2 = (M - m) \times c \times (100 - t) + (M - m) \times L_v = (M - m) \times 1 \times (100 - t) + (M - m) \times 540 = (M - m)(640 - t)$.Equating $Q_1 = Q_2$:$m(t + 80) = (M - m)(640 - t)$$mt + 80m = 640M - Mt - 640m + mt$$80m + 640m = 640M - Mt$$720m = M(640 - t)$$\frac{m}{M} = \frac{640 - t}{720}$.

Class 11 Physics 10-1.Thermometry, Thermal Expansion and Calorimetry Mix Examples-Thermometry, Thermal Expansion and Calorimetry

Difficult

$M \ kg$ of water at $t^{\circ} C$ is divided into two parts so that one part of mass $m \ kg$ when converted into ice at $0^{\circ} C$ would release enough heat to vaporize the other part. Then $\frac{m}{M}$ is equal to (Specific heat of water $= 1 \ cal \ g^{-1} {}^{\circ} C^{-1}$,Latent heat of fusion of ice $= 80 \ cal \ g^{-1}$,Latent heat of steam $= 540 \ cal \ g^{-1}$)

AP EAMCET 2016 All AP EAMCET

A
$\frac{640 - t}{720}$
B
$\frac{720 - t}{640}$
C
$\frac{640 + t}{720}$
D
$\frac{720 + t}{640}$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

10-1.Thermometry, Thermal Expansion and Calorimetry

Subtopic

Mix Examples-Thermometry, Thermal Expansion and Calorimetry

Previous Year

AP EAMCET 2016 Paper All AP EAMCET years →

Water falls from a height of $500 \ m$. What is the rise in temperature of water at the bottom if the whole energy remains in the water? (Assume $g = 9.8 \ m/s^2$ and specific heat capacity of water $c = 4200 \ J/kg \cdot ^\circ C$)

Medium

View Solution

$A$ lead bullet moving with velocity '$v$' strikes a wall and stops. If $50\%$ of its energy is converted into heat,then the increase in temperature is ($s =$ specific heat of lead,$J =$ mechanical equivalent of heat).

DifficultMHT CET 2024

View Solution

$A$ calorimeter of mass $0.2 \ kg$ and specific heat $900 \ J/kg \cdot K$ contains $0.5 \ kg$ of a liquid of specific heat $2400 \ J/kg \cdot K$. Its temperature falls from $60^{\circ}C$ to $55^{\circ}C$ in one minute. The rate of cooling is ....... $J/s$.

Medium

View Solution

What is the main difference between the $P-T$ phase diagram of water and $CO_2$?

Medium

View Solution

The densities of wood and benzene at $0^{\circ} C$ are $880 \ kg \ m^{-3}$ and $900 \ kg \ m^{-3}$,respectively. The coefficients of volume expansion are $1.2 \times 10^{-3} \ ^{\circ}C^{-1}$ for wood and $1.5 \times 10^{-3} \ ^{\circ}C^{-1}$ for benzene. The temperature at which a piece of wood just sinks in benzene is (in $^{\circ} C$)

MediumAP EAMCET 2019

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

Water falls from a height of $500 \ m$. What is the rise in temperature of water at the bottom if the whole energy remains in the water? (Assume $g = 9.8 \ m/s^2$ and specific heat capacity of water $c = 4200 \ J/kg \cdot ^\circ C$)

$A$ lead bullet moving with velocity '$v$' strikes a wall and stops. If $50\%$ of its energy is converted into heat,then the increase in temperature is ($s =$ specific heat of lead,$J =$ mechanical equivalent of heat).

$A$ calorimeter of mass $0.2 \ kg$ and specific heat $900 \ J/kg \cdot K$ contains $0.5 \ kg$ of a liquid of specific heat $2400 \ J/kg \cdot K$. Its temperature falls from $60^{\circ}C$ to $55^{\circ}C$ in one minute. The rate of cooling is ....... $J/s$.

What is the main difference between the $P-T$ phase diagram of water and $CO_2$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module