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Chapter 13: Q26PE (page 470)

Confirm that the units of nRT are those of energy for each value of R : (a) 8.31 J/mol K, (b) 1.99 cal/mol K, and (c) 0.0821 L atm/mol K.

Short Answer

Expert verified

All units of nRT are confirmed to be those of energy.

Step by step solution

01

Introduction

We find the unit of nRT for different values of R.

02

Different values of R and ideal gas equation

(a)

The unit of n will be mol and that of temperature will be kelvin.

For R=8.31 J/mol K

UnitsofnRT=mol×(J/mol-K)×K

Joule is a unit of energy.

(b)

For R=1.99 cal/mol K

Units of nRT

UnitsofnRT=mol×(cal/mol-K)×K=cal

Calorie is a unit of energy.(1 cal = 4.2 J).

(c)

For R=0.0821 L atm/mol K

Units of nRT

UnitsofnRT=mol×(L-atm/mol.K)×K=L.atm

Litre atm is again a unit of energy (1 L atm = 101.33 J)

Therefore, the unit of nRT comes out to be that of energy for different values of R.

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