## Question

If there are no heat losses, the heat released by the condensation of *x*grams of steam at 100^{o}C into water 100^{o}C converts *y* grams of ice at 0^{o}C into water at 100^{o}C. The ratio *y*/*x *is nearly

### Solution

3

The latent heat of vaporization of water is very nearly 540 calories per gram. Therefore heat released in the condensation of *x* gram of steam = 540 *x *calories. The latent heat of fusion of ice is very nearly 80 calories. Therefore, heat required to convent *y* gram of ice at 0^{o}C to water at 100^{o}C = 80 *y* + 100 *y* = 180 *y* calories. Thus

180 *y* = 540 *x*

or

#### SIMILAR QUESTIONS

A metallic container is completely filled with a liquid. The coefficient of linear expansion of the metal is per ^{o}C and the coefficient of cubical expansion of the liquid is per ^{o}C. On heating the vessel,

A thin metal square plate has length *l*. When it is heated from 0^{o}C to 100^{o}C, its length increases by 1%. What is the percentage increase in the area of the plate?

A glass flask of volume 500 cm^{3} is completely filled with a liquid at 0^{o}C. When it is placed in boiling water at 100^{o}C, 75 cm^{3} of the liquid overflows. If the coefficient of cubical expansion of glass is ^{o}C^{-1}, what is the coefficient of cubical expansion of the liquid?

A thin metal square plate has length *l*. When it is heated from 0^{o}C to 100^{o}C, its length increases by 1%. What is the percentage increase in the area of the plate?

The density of a liquid of coefficient of cubical expansion . When the liquid is heated to a temperature *T*, the change in density will be

Two rods of different materials having coefficient of thermal expansion and Young’s modulii *Y*_{1} and *Y*_{2} are fixed between two rigid and massive walls. The rods are heated to the same temperature. If there is no bending of the rods, the thermal stresses developed in them are equal provided

300 g of water at 25^{o}C is added to 100 g of ice at 0^{o}C. The final temperature of the mixture is

100 g of ice at 0^{o}C is mixed with 100 g of water 80^{o}C. The final temperature of the mixture will be

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 till the temperature of the calorimeter rises to 80^{o}C. The mass of steam condensed in kilogram is

One mole of oxygen is heated from 0^{o}C, at constant pressure, till its volume increases by 10%. The specific heat of oxygen, under these conditions is 0.22 cal g ^{– 1 }K^{ – 1}. The amount of heat required (in joules) is