A given mass m of a hypothetical solid is sup | vedclass

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

Question

(C) Let the constant rate of heat supply be $P$ $(J/s)$.Heat required for melting (fusion) is $Q_f = P 	imes (90 - 10) = 80P$. Since $Q_f = mL_f$,we

Vedclass · Accepted Answer

$L_f > L_v, S_l < S_s$

Vedclass · Answer

(C) Let the constant rate of heat supply be $P$ $(J/s)$.Heat required for melting (fusion) is $Q_f = P 	imes (90 - 10) = 80P$. Since $Q_f = mL_f$,we have $mL_f = 80P$.Heat required for vaporization is $Q_v = P 	imes (120 - 100) = 20P$. Since $Q_v = mL_v$,we have $mL_v = 20P$.Comparing the two,$mL_f = 80P$ and $mL_v = 20P$,so $L_f > L_v$.For the heating phases,the slope of the temperature-time graph is given by $\frac{dT}{dt} = \frac{P}{mS}$. Thus,$S = \frac{P}{m(dT/dt)}$.The slope for the solid phase is $m_s = \frac{30 - 10}{10} = 2 \, ^\circ C/s$.The slope for the liquid phase is $m_l = \frac{200 - 30}{100 - 90} = \frac{170}{10} = 17 \, ^\circ C/s$.Since $m_l > m_s$,and $S \propto \frac{1}{	ext{slope}}$,it follows that $S_s > S_l$,or $S_l Therefore,$L_f > L_v$ and $S_l < S_s$.

Similar Questions

If $1\; g$ of steam at $100^{\circ}C$ is mixed with $1\; g$ of ice at $0^{\circ}C$,then the resultant temperature of the mixture is ........ $^{\circ}C$.

Find the amount of heat supplied to decrease the volume of an ice-water mixture by $1 \, cm^3$ without any change in temperature. (Given: $\rho_{ice} = 0.9 \rho_{water}$,$L_{ice} = 80 \, cal/g$).

$A$ metal ball immersed in alcohol weighs $W_1$ at $0^{\circ}C$ and $W_2$ at $50^{\circ}C$. The coefficient of cubical expansion of the metal $(\gamma)_m$ is less than that of alcohol $(\gamma)_{Al}$. Assuming that the density of the metal is large compared to that of alcohol,it can be shown that:

Two objects made of the same material have masses $m$ and $2m$ and are at temperatures $2T$ and $T$ respectively. When heat $Q$ is supplied to the object of mass $2m$, its temperature rises to $2T$. If the same heat $Q$ is supplied to the object of mass $m$, its temperature rises to:

The figure shows a glass tube (linear coefficient of expansion is $\alpha$) completely filled with a liquid of volume expansion coefficient $\gamma$. On heating,the length of the liquid column does not change. Choose the correct relation between $\gamma$ and $\alpha$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module