A flexible box contains 5.60 grams of nitrogen gas (N2) which is maintained at aconstant pressure of 1.35 x 10$ Pa. The box is placed over a fire, causing thevolume to increase from 0.00200 m3 to 0.00300 m³. Find the increase intemperature of the gas.(For N2 molar mass M = 28 grams.) Formulas:Work done on a gas: Wgas= - PAVFirst Law of Thermodynamics: AU = Q+ WIdea gas law: PV = nRT, thus, PAV = NRATMolar specific heat at constant volume: Cv : AU = nCvAt where n is moles3R for monatomic gasses,25R for diatomic gasses2The value of Cv is just:5R for monatomic gasses,27for diatomic gasses2The value of Cp is just:JoulesWhere R is the universal gas constant: R = 8.31mole-KelvinMolar specific heat at constant pressure: Q = CPATCPFor adiabatic processes:PVY = constant, whereYCvWork done at constant temperature:W = -nRT In(1The First Law and Thermodynamic Processes (Ideal Gases)ProcessAUQWIsobaricnC, ATnC, AT-P AVAdiabaticnC, ATΔυIsovolumetricnC, ATAUIsothermal-W-nRT In

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A flexible box contains 5.60 grams of nitrogen gas (N2) which is maintained at a constant pressure of 1.35 x 105 Pa. The box is placed over a fire, causing the volume to increase from 0.00200 m³ to 0.00300 m³. Find the increase in temperature of the gas. (For N2 molar mass M = 28 grams.)

A flexible box contains 5.60 grams of nitrogen gas (N2) which is maintained at a constant pressure of 1.35 x 105 Pa. The box is placed over a fire, causing the volume to increase from 0.00200 m³ to 0.00300 m³. Find the increase in temperature of the gas. (For N2 molar mass M = 28 grams.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 38P

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Concept explainers

Diatomic Gas

Molecule, is a collection of two or more atoms together (which constitute the smallest observable unit) into a pure material. There are some ways to represent the structure of a molecule. Factor symbols represent atoms in Lewis structures, and dots represent electrons that accompany them. A pair of mutual electrons (covalent bond) may be represented by a single dash. The ball-and-stick model depicts the spatial structure of the atoms better.

Question

A flexible box contains 5.60 grams of nitrogen gas (N2) which is maintained at a
constant pressure of 1.35 x 10$ Pa. The box is placed over a fire, causing the
volume to increase from 0.00200 m3 to 0.00300 m³. Find the increase in
temperature of the gas.
(For N2 molar mass M = 28 grams.)

Formulas:
Work done on a gas: Wgas
= - PAV
First Law of Thermodynamics: AU = Q+ W
Idea gas law: PV = nRT, thus, PAV = NRAT
Molar specific heat at constant volume: Cv : AU = nCvAt where n is moles
3
R for monatomic gasses,
2
5
R for diatomic gasses
2
The value of Cv is just:
5
R for monatomic gasses,
2
7
for diatomic gasses
2
The value of Cp is just:
Joules
Where R is the universal gas constant: R = 8.31
mole-Kelvin
Molar specific heat at constant pressure: Q = CPAT
CP
For adiabatic processes:
PVY = constant, where
Y
Cv
Work done at constant temperature:
W = -nRT In(
1
The First Law and Thermodynamic Processes (Ideal Gases)
Process
AU
Q
W
Isobaric
nC, AT
nC, AT
-P AV
Adiabatic
nC, AT
Δυ
Isovolumetric
nC, AT
AU
Isothermal
-W
-nRT In

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