Please explain what equations + how you get solve for each questions. Thanks.
Item #2
Learning Goal:
To understand the ideal gas law and be able to apply it to a wide variety of situations.
The absolute temperature T, volume V, and pressure p of a gas sample are related by the ideal gas law, which states that
pV=nRT.
Here n is the number of moles in the gas sample and R is a gas constant that applies to all gases. This empirical law describes gases well only if they are sufficiently dilute and at a sufficiently high temperature that they are not on the verge of condensing.
In applying the ideal gas law, p must be the absolute pressure, measured with respect to vacuum and not with respect to atmospheric pressure, and T must be the absolute temperature, measured in kelvins (that is, with respect to absolute zero). If p is in pascals and V is in cubic meters, use R=8.3145J/(mol⋅K). If p is in atmospheres and V is in liters, use R=0.08206L⋅atm/(mol⋅K) instead.
Part A
A gas sample enclosed in a rigid metal container at room temperature (20.0∘C) has an absolute pressure p1. The container is immersed in hot water until it warms to 40.0∘C. What is the new absolute pressure p2?
Express your answer in terms of p1.
Item #3
An open container holds ice of mass 0.505kg at a temperature of -15.0∘C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 740J/minute .
The specific heat of ice to is 2100 J/kg⋅K and the heat of fusion for ice is 334×103J/kg.
Part A
How much time tmelts passes before the ice starts to melt?
Part B
From the time when the heating begins, how much time trise does it take before the temperature begins to rise above 0∘C?
Item #4
Assume all temperatures to be exact.
It takes 2.7×106J of heat to bring a quantity of water from 27∘C to a boil.
Part A
What is the mass of water?
Express your answer using two significant figures.