please answer questions show steps + equations Thanks. 00 Mudt show your work 1.

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please answer questions
show steps + equations
Thanks.

00 Mudt show your work 1. Atan f volume 0.5 m2 contains helium gas (M 0.004 kymo a molK (18 6x10 A tank o tne gas is 0.016 kg/ m2. Use Na Find the total mass of the gas. gas (M0.004 kg/mol) at 127 C. The density of 1/ mol andR (18 points)- 0 -ISE 1/ mol and R = 8.31 J/(mol.K)- (a) M %21(400) (b) Find the number of the helium atoms in the tank. N= n . Na /L 2 0.0 08 k (c) What is the average speed( v ms) af the helium atoms? for accaerchar A copper cylinder inittaly at 220 C are dropped into a 40 g block of ice initially at -16 Co If the final temperature is 20° C, find the mass of the copper cylinder. (24 points) Use: ccopper = 0.09 calgC", cie = 0.5 cal/gC", cwa_ 1.0 calgCo, Lf 80 cal/g 2. A 220°C

Explanation / Answer

1. (a) we know that density = mass / volume

mass = density*volume =0.16 kg/m3*0.5 m3 =0.08 kg.......Ans.

(b) The molar mass of He atoms 6.023x10^23 atoms is 4 g

1 mol of He = 4 g = 6.023x10^23 atoms

1g of He = 6.023x10^23 atoms /4 atoms of He

0.08*1000 g of He = 6.023x10^23 atoms /4 * 0.08*1000 =120.46 x 10^23 atoms........Ans.

(c) Vrms= Sqrt(3*((k*T)/m)))

k = boltzman = 1.3806503*10-23J/K
T = 400 K
m = 0.08 kg

so V = sqrt(3*1.38x10^-23*400/0.08) =45.49 x 10^-11 m/s

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