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There are two containers, A and B, of equal size. Gas that behaves ideally is in

ID: 1590196 • Letter: T

Question

There are two containers, A and B, of equal size. Gas that behaves ideally is in both containers and it is known that A has a temperature of 52oC and B a temperature of 9.0oC. Nothing else is known about the gasses. Which of the following statements must be true? Which could be true? (a) The pressure in A is higher than in B. (b) There are more molecules in A than in B. (c) A and B cannot contain the same type of gas. (d) The molecules in A interact with each other more than those in B interact with each other. (e) The molecules in A have more average kinet- ic energy per molecule than those in B. (f) The molecules in A are moving faster than those in B. Explain your reasoning behind your answers.

Explanation / Answer

use Idea gas equation PV = nRT

Work Done W = KE = PdV = nRT

so

Enerry E = 3/2 KT

since for A, T = 52 deg and for B, T = 9 deg

KE of A will be more than KE of B

so option E is correct,

i,e (e) The molecules in A have more average kinet- ic energy per molecule than those in B.