an ideal gas occupies a volume of 22.4litres at stp while absorbing 2.53KJ of heat from the surrounding the gas expands isobarically to 32.4 litres. What is the change in internal energy

Respuesta :

delta U = Q - W and W in this case = P delta V. Use standard pressure, change in V is given and heat added is given.

V=22.4 dm^3,

T = 273.15 K (0 °C)

p=101325 Pa

V2 = 32.4 dm^3

p = const.

V1 / T1 = V2 / T2

T2 = T1 * V2 / V1

= 273.15 K * 32.4 dm^3 /22.4 dm^3

= 395.092 K (121.9 °C)

Internal energy: E(i) = N*k*T,

where N = 6*10^23  k = 1.38*10^-23

E(i1) = 6*10^23 * 1.38*10^-23 * 273.15 = 2261.682 J

E(i2) = 6*10^23 * 1.38*10^-23 * 395.092 = 3271.362 J

delta E(i) = 1009.68 J

What is internal energy ?

"Internal energy, in thermodynamics, the property or state function that defines the energy of a substance in the absence of effects due to capillarity and external electric, magnetic, and other fields."

What is pressure ?

"Pressure is defined as a measure of the force applied over a unit area. Pressure is often expressed in units of Pascals (Pa), newtons per square meter (N/m2 or kg/m·s2), or pounds per square inch. Other units include the atmosphere (atm), torr, bar, and meters sea water (msw)."

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