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

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SUMMARY

This discussion focuses on solving three physics problems related to temperature effects on water overflow and gas behavior. The first problem involves calculating the overflow of water in a brass container when heated from 25.0°C to 94.5°C, utilizing the coefficients of volume expansion for water (207 x 10-6 K-1) and brass (57 x 10-6 K-1). The second problem addresses gas properties at 0.0°C and 1.00 atm, requiring calculations for number density, average molecular distance, total mass, and mass density of a diatomic gas with a molecular mass of 29.16500 g/mol. The final problem examines the change in pressure of an ideal gas when the root mean square (rms) speed of its molecules is reduced.

PREREQUISITES
  • Understanding of thermal expansion concepts, specifically volume expansion coefficients.
  • Familiarity with the ideal gas law (pV = NRT).
  • Knowledge of basic gas properties, including number density and mass density calculations.
  • Ability to perform calculations involving root mean square speed of gas molecules.
NEXT STEPS
  • Research the effects of temperature on the volume of liquids and solids, focusing on thermal expansion.
  • Learn how to calculate number density and mass density for different states of matter.
  • Explore the relationship between rms speed and pressure in ideal gases.
  • Study the properties of diatomic gases and their implications in thermodynamics.
USEFUL FOR

Students studying physics, particularly those focusing on thermodynamics and gas laws, as well as educators seeking to enhance their understanding of temperature effects on materials and gases.

Kickbladesama
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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.)

--------------------------------------

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?

---------------------------------------

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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Hi Kickbladesama!

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 

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