How Does Temperature Affect Water Overflow and Gas Behavior in Physics Problems?

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need help on three problems fast!

Homework Statement



A cylindrical brass container with a base of 87.0 cm2 and height of 20.0 cm is filled to the brim with water when the system is at 25.0°C. How much water overflows when the temperature of the water and the container is raised to 94.5°C? (The coefficient of volume expansion for water and brass are 207 multiplied by 10-6 K-1 and 57 multiplied by 10-6 K-1, respectively.)

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At 0.0°C and 1.00 atm, 0.95 mol of a gas occupies a volume of 0.0213 m3.
(a) What is the number density?
(b) Estimate the average distance between the gas molecules.
(c) If the gas is composed of diatomic molecules with a molecular mass of 29.16500 g/mol, what is the total mass?
(d)What is the mass density?

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A sealed cylinder contains a sample of ideal gas at a pressure of 1.1 atm. The rms speed of the molecules is v0. If the rms speed is then reduced to 0.73v0, what is the pressure of the gas?

Homework Equations



pV = NRT

deltaL/L = alpha x temp

The Attempt at a Solution

 
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