Question

Steam at 100oC is passed into 1.1 kg of water contained in a calorimeter of water equivalent 0.02 kg at 15oC till the temperature of the calorimeter rises to 80oC. The mass of steam condensed in kilogram is

Solution

Correct option is

0.13

 

Let the mass of steam condensed be m kg. The latent of vaporisation of water = 556 K cal/kg. Therefore, heat lost by steam = 556 m + m (100 – 80) = 576 m kcal. Heat gained by calorimeter and water = (1.1 + 0.02)(80 – 15) = 72.8 kcal. Now, heat lost = heat gained, i.e.

                      576 m = 72.8

or                          m = 0.13 kg

SIMILAR QUESTIONS

Q1

At 40oC, 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 240oC? The coefficient of linear expansion of brass and steel are respectively.

Q2

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

Q3

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

Q4

A glass flask of volume 500 cm3 is completely filled with a liquid at 0oC. When it is placed in boiling water at 100oC, 75 cm3 of the liquid overflows. If the coefficient of cubical expansion of glass is  oC-1, what is the coefficient of cubical expansion of the liquid?

Q5

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

Q6

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

Q7

Two rods of different materials having coefficient of thermal expansion  and Young’s modulii Y1 and Y2 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

Q8

300 g of water at 25oC is added to 100 g of ice at 0oC. The final temperature of the mixture is

Q9

100 g of ice at 0oC is mixed with 100 g of water 80oC. The final temperature of the mixture will be

Q10

If there are no heat losses, the heat released by the condensation of xgrams of steam at 100oC into water 100oC converts y grams of ice at 0oC into water at 100oC. The ratio y/is nearly