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1) Rod has twice the diameter of rod , but both are made of iron and have the sa

ID: 1471456 • Letter: 1

Question

1) Rod  has twice the diameter of rod , but both are made of iron and have the same initial length. Both rods are now subjected to the same change in temperature (but remain solid). How would the change in the rods' lengths compare?

2) If bottle  has twice the volume and contains half the number of moles of gas as bottle , how does the pressure in  compare with the pressure in ?

3) Two ideal gases,  and , are at the same temperature. If the molecular mass of the molecules in gas  is twice that of the molecules in gas , the molecules' root-mean-square speed is

Rod A > rod B. Rod B > rod A. Rod A = rod B. Need to know whether the rods were cooled or heated.

Explanation / Answer

1.)

change in length is proportional to length of wire only.

2.)PB=4PA.

PV = nRT

as volume is twice and no of moles is half so the pressure become 1/4th of P

3.)1.4 times greater in B.

Vrms = sqrt ( 3KT/m)

as mass increase speed decreases .

= sqrt( 3KT/2m)

= 1/1.4( sqrt ( 3KT/m)

Rod A = rod B.