The density of a substance is 400 Kg/m^3 and that of another substance is 600Kg/m^3. The heat capacity of 40c.c of first substance is equal to that of 30c.c of second substance. The ratio of their specific heats is ?. the answer is 9:8.?

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The density of a substance is 400 Kg/m^3 and that of another substance is 600Kg/m^3. The heat capacity of 40c.c of first substance is equal to that of 30c.c of second substance. The ratio of their specific heats is ?. the answer is 9:8.?

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The density of a substance is 400 Kg/m^3 and that of another substance...

Explanation

Density of the substances

Given, density of first substance = 400 Kg/m^3

density of second substance = 600Kg/m^3

Heat capacity of substances

Let the specific heat of the first substance be 'x' and that of the second substance be 'y'.

Given, the heat capacity of 40cc of first substance is equal to that of 30cc of second substance.

Heat capacity of 40cc of first substance = 40cc * 400 Kg/m^3 * x

Heat capacity of 30cc of second substance = 30cc * 600 Kg/m^3 * y

Equating both the heat capacities, we get:

40cc * 400 Kg/m^3 * x = 30cc * 600 Kg/m^3 * y

4x = 3y

x/y = 3/4

Ratio of Specific Heats

We know that:

Ratio of specific heats = (2 * x)/(x + y)

Substituting the value of x/y, we get:

Ratio of specific heats = (2 * 3)/(3 + 4)

Ratio of specific heats = 6/7

Therefore, the required ratio of specific heats is 9:8 (multiplying numerator and denominator by 3), which is the simplified form of 6/7.

Answered by Mohit Rajpoot · View profile

Community Answer

The density of a substance is 400 Kg/m^3 and that of another substance...

We know ,H(heat capacity)=ms.d(density)=m/vm=d v.given that ,H1=H2.d1v1s1=d2v2s2.s1/s2=d2 v2/d1 v1.s1/s2= 600 ×30/400×4.s1/s2= 6×3/4×4.s1/s2=18/16.s1/s2=9/8.

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Importance of high specific heat capacity of water for life Specific heat capacity of a substance is the amount of heat required to raise the temperature of that substance by 1 K. It is expressed in the units J/ (kg K). A high specific heat of a substance means that a large amount of heat is required to raise the temperature of the substance. Water has the highest known specific heat capacity. Its specific heat capacity is 4.186 K J/ (kg K) i.e. to raise the temperature of 1 kg of water by 1 Kelvin it requires 4.186 KJ of heat. For comparison sake, Copper requires only 385 Joules of heat to raise 1 kilogram of copper by 1 Kelvin. It also interesting to know that the specific heat capacities in two other phases of water (i.e. ice and water vapour) are less than this. High specific heat of water is mainly due to the presence of a large number of hydrogen bonds between molecules of water. On a beach on a sunny day, it is noticed that the sand is often quite hot to walk on, but the water is always cool, even in the shallows. This is because sand has a lower specific heat capacity than that of water. Sand takes less energy to raise the temperature by one degree. Because water has a high specific heat capacity, it requires more energy to raise the temperature by one degree. Since the sun puts same rate of energy on water and sand, which heats up sand more quickly and water more slowly. Water covers around 70% of the Earth's surface and its high specific heat plays a very important role to sustain life in the earth. It is able to absorb a lot of heat without a significant rise in the temperature. When temperatures decrease, the heat which is stored is released, restraining a rapid drop in temperature. The combined effect is the buffering of heat. A relatively constant temperature without sudden rise and drop is essential to sustain life. Hence water is important for life.Q. To raise the temperature of 1 kg of water and 1 kg of copper by 1 Kelvin, 4.186 KJ and 385 Joule of heat are required respectively. Which one will get heated up faster if exposed to sun?

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The density of a substance is 400 Kg/m^3 and that of another substance is 600Kg/m^3. The heat capacity of 40c.c of first substance is equal to that of 30c.c of second substance. The ratio of their specific heats is ?. the answer is 9:8.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The density of a substance is 400 Kg/m^3 and that of another substance is 600Kg/m^3. The heat capacity of 40c.c of first substance is equal to that of 30c.c of second substance. The ratio of their specific heats is ?. the answer is 9:8.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of a substance is 400 Kg/m^3 and that of another substance is 600Kg/m^3. The heat capacity of 40c.c of first substance is equal to that of 30c.c of second substance. The ratio of their specific heats is ?. the answer is 9:8.?.

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