Some steam at $100^o \,\,C$ is passed into $1.1 \,\,kg$ of water contained in a calorimeter of water equivalent $0.02\,\, kg$ at $15^o C$ so that the temperature of the calorimeter and its contents rises to $80^o \,\,C$. What is the mass of steam condensing. (in $kg$)

Two thermometers $X$ and $Y$ have ice points marked at $15^o$ and $25^o$ and steam points marked as $75^o$ and $125^o$ respectively. When thermometer $X$ measures the temperature of a bath as $60^o$ on it,  ........ $^oC$ would thermometer $Y$ read when it is used to measure the temperature of the same bath ?

A steel tape measures the length of a copper rod as $90\, cm$ when both are at $10\,^oC$. ........ $cm$ would the tape read for the length of rod when both are at $30\,^oC$ ? $[\alpha _{st} = 1.2\times10^{-5}/^oC$ and $\alpha _{cu} = 1.7\times10^{-5}/^oC]$

The portion $AB$ of the indicator diagram representing the state of matter denotes

$2\,kg$ of metal at $100\,^oC$ is cooled by $1\,kg$ of water at $0\,^oC$ . If specific heat capacity of metal is $\frac {1}{2}$ of specific heat capacity of water, final temperature of mixture would be

If there are no heat losses, the heat released by the condensation of $x$ gm of steam at $100^o C$ into water at $100^o C$ can be used to convert $y$ gm of ice at $0^o C$ into water at $100^o C$. Then the ratio $y : x$ is nearly