Question

Two liquids P and Q of masses 103 gr and204 gr are heated. Then 3 gr and 4 gr of liquidsexpelled when heated through 120°C and100°C respectively. Then which liquid hasgreater coefficient of apparent expansion.2) Q3) both have same 4) none1) P​

Answer 1

Explanation:

P has the greater coefficient of expansion

Answer 2

Concept:

We need to apply the formula of the coefficient of apparent expansion, γp =  x/m-x × 1/ΔT

Given:

The mass of two liquids, P and Q is 103g and 204g, respectively

Liquid P and Q expelled are 3g and 4g, respectively.

Initial temperature = 100°C

Final temperature = 120°C

Find:

We need to determine the liquid which has a greater coefficient of apparent expansion.

Solution:

We know,

The formula of the coefficient of apparent expansion,

γp =  x/m-x × 1/ΔT Here, x is the liquid expelled, m represents the mass of the liquid, and ΔT represents the change in temperature

Substitute all the values in the given formula-

For Liquid P,

γp = 3/103 - 3 × 1/120 - 100

γp = 0.002 is the coefficient of apparent expansion of liquid P

For Liquid Q,

γp = 4/204 - 4 × 1/120 - 100

γp = 0.001 is the coefficient of apparent expansion of liquid Q.

From the two liquids, the coefficient of apparent expansion of liquid P is greater than liquid Q since it has a 0.002 value while 0.001 value for liquid Q.

Thus, Liquid P has a greater coefficient of apparent expansion than liquid Q.

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