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## Homework Statement

1.

A gas expands as shown in the graph. If the heat taken in during this process is 1.02 × 10^6 J, the change in internal energy of the gas (in J) is

2.

One mole of an ideal gas is held at a constant pressure of 1 atm. Find the change in volume if the temperature changes by 50°C.

3.

Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by

*y*= 2 sin (

*π x*) cos (3

*π t*) where

*x*is in m and

*t*is in s. What is the distance (in m) between two adjacent antinodes?

## Homework Equations

pV=nRT

W= -p(V2-V1)

E= Q+W

## The Attempt at a Solution

1.

E=Q+W

E=1.02*10^6+[-p(V2-V1)]

E=1.02*10^6-(6-2)(8-2)

It seems incorrect

2.

pV=nRT

1*V=1*8.31*(50)

V=416 m^3

3.

k=2pi/λ

pi=2pi/λ

λ=2

pi=[3pi]/λ

λ=3

the distance is 3-2=1