Need help with practice problem

A} (5 points): Two rods, of steel and brass, each is fixed from one end and free from the end. The gap between the two free ends is 0.1 mm at 20 C as shown in the drawing. Find the width of the gap at 0 C? Assume the change in temperature will not affect the two xed ends. Coefficient of linear expansion for Steel = 11 x 10'5 1JC'1 Coefficient of linear expansion for Brass =19 x 10'5 CC1 4 21) cm b-i I4 Ecm P l 0.1 mm ' B) (5 points): A cylinder is lled with N2 gas and a piston is put into it. The pressure of the gas inside the cylinder is measured to be 1.5 atm at 200C. Molar weightfor N2 is 28 glmole. The diameter of the cylinder is 10 cm and its height is 25 cm. a) Calculate the number of moles of the air in the cylinder. b} Calculate the rms speed (vrms) of the N2 molecules inside the cylinder. c) The cylinder moved to a new location where the temperature is -20 oC. The piston is now compressed and moved down by 5 cm reducing the height of the volume of the gas to 20 cm. Calculate the pressure inside the cylinder