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At 298k the coefficient of thermal expansion of water is α=2.07 *10-⁴ k-¹ and the density is 0.9970g/m³.if the temperature of 200g of water is raised from 298k to 323k under a constant pressure of 101 kpa . calculate w and Q and ΔU given CP= 75.30j/K .mol?
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At 298k the coefficient of thermal expansion of water is α=2.07 *10-⁴ ...
Calculation of work, heat and change in internal energy of water
Given
- Coefficient of thermal expansion of water (α) = 2.07 * 10^-4 K^-1
- Density of water (ρ) = 0.9970 g/m³
- Initial temperature (T1) = 298 K
- Final temperature (T2) = 323 K
- Constant pressure (P) = 101 kPa
- Mass of water (m) = 200 g
- Specific heat capacity of water at constant pressure (CP) = 75.30 J/K.mol
Calculation of Work (W)
The work done by the system is given by the formula:
W = -PΔV
where,
- P = Constant pressure = 101 kPa
- ΔV = Change in volume
Change in volume (ΔV) can be calculated using the formula:
ΔV = V2 - V1
where,
- V1 = Initial volume = m/ρ = 200/0.9970 = 200.80 cm³
- V2 = Final volume
Final volume (V2) can be calculated using the formula:
V2 = V1 (1 + αΔT)
where,
- ΔT = Change in temperature = T2 - T1 = 323 - 298 = 25 K
Substituting the values in the above equation, we get:
V2 = 200.80 (1 + 2.07 * 10^-4 * 25) = 201.79 cm³
Now, substituting the values of P, ΔV and converting the units to joules, we get:
W = -101 * 10^3 * (201.79 * 10^-6 - 200.80 * 10^-6) = -0.203 J
Calculation of Heat (Q)
The heat absorbed by the system is given by the formula:
Q = mCPΔT
where,
- m = Mass of water = 200 g
- CP = Specific heat capacity of water at constant pressure = 75.30 J/K.mol
- ΔT = Change in temperature = T2 - T1 = 323 - 298 = 25 K
Substituting the values in the above equation, we get:
Q = 200/18 * 75.30 * 25 = 20925 J
Calculation of Change in Internal Energy (ΔU)
The change in internal energy (ΔU) is
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At 298k the coefficient of thermal expansion of water is α=2.07 *10-⁴ k-¹ and the density is 0.9970g/m³.if the temperature of 200g of water is raised from 298k to 323k under a constant pressure of 101 kpa . calculate w and Q and ΔU given CP= 75.30j/K .mol?
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At 298k the coefficient of thermal expansion of water is α=2.07 *10-⁴ k-¹ and the density is 0.9970g/m³.if the temperature of 200g of water is raised from 298k to 323k under a constant pressure of 101 kpa . calculate w and Q and ΔU given CP= 75.30j/K .mol? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about At 298k the coefficient of thermal expansion of water is α=2.07 *10-⁴ k-¹ and the density is 0.9970g/m³.if the temperature of 200g of water is raised from 298k to 323k under a constant pressure of 101 kpa . calculate w and Q and ΔU given CP= 75.30j/K .mol? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At 298k the coefficient of thermal expansion of water is α=2.07 *10-⁴ k-¹ and the density is 0.9970g/m³.if the temperature of 200g of water is raised from 298k to 323k under a constant pressure of 101 kpa . calculate w and Q and ΔU given CP= 75.30j/K .mol?.
At 298k the coefficient of thermal expansion of water is α=2.07 *10-⁴ k-¹ and the density is 0.9970g/m³.if the temperature of 200g of water is raised from 298k to 323k under a constant pressure of 101 kpa . calculate w and Q and ΔU given CP= 75.30j/K .mol? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about At 298k the coefficient of thermal expansion of water is α=2.07 *10-⁴ k-¹ and the density is 0.9970g/m³.if the temperature of 200g of water is raised from 298k to 323k under a constant pressure of 101 kpa . calculate w and Q and ΔU given CP= 75.30j/K .mol? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At 298k the coefficient of thermal expansion of water is α=2.07 *10-⁴ k-¹ and the density is 0.9970g/m³.if the temperature of 200g of water is raised from 298k to 323k under a constant pressure of 101 kpa . calculate w and Q and ΔU given CP= 75.30j/K .mol?.
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