Embibe Experts Solutions for Chapter: Thermal Properties of Matter, Exercise 1: TS EAMCET - 10 August 2021 Shift 1

A metal block has a linear expansion coefficient of $8\times {10}^{-5} °{\mathrm{C}}^{-1}$ and its density at $20 °\mathrm{C}$ is $11 \mathrm{g} {\mathrm{cm}}^{-3}$. The approximate temperature at which its density becomes $10 \mathrm{g} {\mathrm{cm}}^{-3}$ will be

The area measured on the surface of a solid body of coefficient of linear expansion $\alpha$ is $A_0$ at some initial temperature. If the temperature changes by $\mathrm{\Delta }T$, the approximate change in area, $\mathrm{\Delta }A$ is

Two pieces of rails each of length $20 \mathrm{m}$ are laid down (end - to -end) when the temperature of surrounding is $25°\mathrm{C}.$ What must be the space left between them to allow expansion when the surrounding temperature goes up to $45°\mathrm{C}.$ [Coefficient of linear expansion for rail is $0.000015 {\mathrm{C}}^{-1}$]

$50 \mathrm{g}$ of ice at $0 °\mathrm{C}$ is mixed with $50 \mathrm{g}$ of water at $80 °\mathrm{C}$. If the latent heat of ice is $80 \mathrm{cal} {\mathrm{g}}^{-1}$ and specific heat of water is $1 \mathrm{cal} {\mathrm{g}}^{-1} °{\mathrm{C}}^{-1}$, then the final temperature of mixture is

$1 \mathrm{gm}$ of ice at, $0°\mathrm{C}$ is mixed with, $2 \mathrm{gm}$ of water at $90°\mathrm{C}$. Find the final temperature (specific heat capacity of water,$=1 \mathrm{cal} {\left(\mathrm{gm}°\mathrm{C}\right)}^{-1}$ and latent heat of fusion of ice $=$ $80 \mathrm{cal} {\left(\mathrm{gm}\right)}^{-1}$)