## Question

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

### Solution

0^{o}C

The amount of heat required to convert 100 g of ice at 0^{o}C into water at calories. This is precisely the amount of heat lost by 100 g of water at 80^{o}C to bring its temperature down to 0^{o}C. Therefore, the temperature of the mixture remains **0 ^{o}C**.

#### SIMILAR QUESTIONS

A steel scale measures the length of a copper rod as *L* cm when both are at 20^{o}C, the calibration temperature for the scale. If the coefficient of linear expansion for steel and copper are respectively, what would be the scale reading (in cm) when both are at 21^{o}C?

At 40^{o}C, a brass rod has a length 50 cm and a diameter 3.0 mm. It is joined to a steel rod of the same length and diameter at the same temperature. What is the change in the length of the composite rod when it is heated to 240^{o}C? The coefficient of linear expansion of brass and steel are respectively.

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

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