A liquid of mass of 100 g at 120 °C is poured into the water at 20 °C. The final temperature recorded is 40 °C. If the specific heat capacity of the liquid is 0.8 Jg^-1 °C^-1, calculate the initial mass of water.

Open in App

Solution

Given:
The mass of the liquid, $M = 100 g$
The temperature of the liquid $= 120 ° C$
The temperature of water $= 20 ° C$
The final temperature of the mixture $= 40 ° C$
The specific heat capacity of the liquid, $C = 0.8 J g^{- 1} ° C^{- 1}$
Finding the initial mass of the water:
The specific heat capacity of water, $c = 4.182 J g^{- 1} ° C^{- 1}$
From the principle of calorimetry, we know that the heat lost by the hot body = the heat gained by the cold body.
so, $M C (120 - 40) = m c (40 - 20)$
$\Rightarrow 100 x 0.8 x 80 = m x 4.182 x 20 \Rightarrow 6400 = m x 83.64 \Rightarrow m = 76.5$
Hence, the mass of the water is 76.5 g.

Suggest Corrections

Similar questions

Q. A liquid of mass 100 g at 120 °c is poured in water at 20°c, when the final temp recorded is 40°c. If the specific heat capacity of liquid is 0.8 J/g/°c, calculate the initial mass of water?

A liquid of mass $100 g$ at $120 ° C$ is poured in water at $20 ° C$ , when the final temperature recorded is $40 ° C$ . If the specific heat capacity of the liquid is $0.8 J g^{- 1} ° C^{- 1}$ , calculate the initial mass of water.

Q. 40 g water at 60 ℃ is poured into a vessel containing 50 g of water at 20 ℃. The final temperature of mixture is 30℃. Calculate the specific heat capacity of the vessel which weighs 200 g. Take specific heat of water

4.2 J g^{- 1} K^{- 1}

.
.

Q. A hot solid of mass

60 g

100^{o} C

is placed in 150 g of water at

20^{o} C

. The final steady temperature recorded is

25^{o} C

. Calculate the specific heat capacity of the solid.
[Specific heat capacity of water = 4200 J

k g^{- 1}^{o} C^{- 1}

Q. Calculate the initial temperature of liquid

A

of mass

400

g having a specific heat capacity of

2.4 J {k g}^{- 1} K^{- 1}

when it is mixed with liquid

B

of mass

750

g having a specific heat capacity of

1.6 J {k g}^{- 1} K^{- 1}

40^{\circ} C

. The final temperature of the mixture becomes

25^{\circ} C

Join BYJU'S Learning Program

A liquid of mass of 100 g at 120 °C is poured into the water at 20 °C. The final temperature recorded is 40 °C. If the specific heat capacity of the liquid is 0.8 Jg-1 °C-1, calculate the initial mass of water.

A liquid of mass of 100 g at 120 °C is poured into the water at 20 °C. The final temperature recorded is 40 °C. If the specific heat capacity of the liquid is 0.8 Jg^-1 °C^-1, calculate the initial mass of water.