Internal Energy (E,also denoted by U): Every system having some quantity of matter is associated with a definite amount of energy, called internal ene

Question

Internal Energy (E,also denoted by U): Every system having some quantity of matter is associated with a definite amount of energy, called internal ene

Internal Energy (E,also denoted by U):
Every system having some quantity of matter is associated with a definite amount of energy, called internal energy.
`E=E_("Transiational")+E_("Rotational")+E_("Vibrational")+E_("bonding")+`....
`DeltaE=E_("Final")-E_("initial")`
`DeltaE=q_v`, heat supplied to a gas at constant volume, since all the heat supplied goes to increase the internal energy to the gas.
It is an extensive property & a state function.It is exclusively a function of temperature.
If `DeltaT=0 , DeltaE=0` as well.
The internal energy of a certain substance is given by the following equation :
U=3 PV+84
where U is given in kJ/kg, P is in kPa, and V is in `m^3//kg`
A system composed of 3 kg of this substance expands from an initial pressure of 400 kPa and a volume of A `0.2 m^3` to a final pressure 100 kPa in a process in which pressure and volume are related by `PV^2`=constant.
If the expansion is quasi-static, then the value of q is :
A. 80 kJ
B. 60 kJ
C. 40 kJ
D. 120 kJ

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Related Questions

When a quantity of electricity is passed through `CuSO_(4)` solution 0.16 g of copper gets deposited if the same quantity of electricity is passed thr

2 Answers 5 Views

ΔABC is similar to ΔDEF is denoted as (A) ΔABC = ΔDEF (B) ΔABC ~ ΔDEF (C) ΔABC ≅ ΔDEF

2 Answers 5 Views

The temperture of a definite amount of an ideal monoatomic gas becomes four times in a reversible process for which heat exchange is zero. Which of th

2 Answers 5 Views

Statement-1: Third ionisation energy of phosphorous is larger than sulphur. Statement-2: There is a larger amount of stability associated with filled

2 Answers 5 Views

Classify the following compounds as primary, secondary and tertiary halides. (i) 1-bromobut-2-ene (ii). 4-Bromopent-2-ene (iii). 2-Bromo-2-methylpropa

2 Answers 5 Views

When a quantity of electricity is passed through `CuSO_(4)` solution, 0.16 g of copper gets deposited. If the same quantity of electricity is passed t

2 Answers 4 Views

Calculate the magnitude of free energy in `KJ mol^(-1)` when `1` mole of a an ionic salt MX (s) is dissolved in water at `27^(@)C` . Given Lattice ene

2 Answers 5 Views

Price elasticity of supply is 2.5. At a price of Rs.5/unit its quantity supplied is 300 units. Calculate the quantity supplied at a price of Rs.4/unit

2 Answers 6 Views

At Rs.12/unit, quantity supplied of a commodity is 500 units. When its price riese to Rs.15/unit, its quantity supplied rises to 650 units. Calculate

2 Answers 6 Views

2g ice is dropped in 10g water at `60^(@)C` present in a container having water equivalent 20g. Find final temperature of the mixture (neglect any ene

2 Answers 9 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - A
U=3PV+84
`DeltaU=U_2-U_1=3(P_2V_2-P_1V_1)`
`therefore DeltaU=3(P_2V_2-P_1V_1)`
Now, `P_1V_1^2=P_2V_2^2`
`:. V_2=V_1(P_1/P_2)^(1//2)=0.2(4/1)^(1//2)=0.4`
`DeltaU=300(1xx0.4-4xx0.2)kJ = -120 kJ`
For a quasi-static process
`W=intPdV=(P_2V_2-P_1V_1)/(n-1)`
`=((1xx0.4-4xx0.2)100)/(2-1)=-40 kJ`
`:. DeltaU=q+W`
q=-120+40=-80 kJ