<p>Here are the equation used in the problem:
1. PV=nRT
2. Q=mcΔT
3. U=3/2KbT
4. V(rms)= (√(3RT)/(M)) that asquare root symbol if it helps
5. W=-PΔV
6. ΔU=Q+W</p>
<p>Here are the questions Im confused...
1.Assuming n and R are both constant, what happens to T if P is doubled and V is tripled? Can you show me???
2. Calculate m if c= 4000J/KG degree C, Q= 6.2 KJ, and T=12 degree C. To do this, KJ need to be converted to J.
3. If U doubles and Kb, R, and M remian the same values, how does Vrms change?
4.If ΔV is positive and ΔU is zero, what is the sign of Q? Just equation 5 and 6 to justify.</p>
<ol>
<li>Since n and R are constant, it doesn’t really matter whether they are there for this question. So, PV = T. So if you double P to 2P and triple V to 3V, the equation becomes 2P x 3V = T. Multiply through: 6(PV) = T. So can you tell me what has happened to T? </li>
<li>Rearrange the equation: m = (Q/(cT)) = 6200 J/(4000 J/Cg x 12 C). </li>
<li>Solve equation 3 for T and plug that in to equation 4. Then, evaluate how V(rms) changes as you plug in 2U. </li>
<li>If V is positive, then W is negative by the first equation. If W is negative, then Q must be positive by the second equation (for the sum to equal 0).</li>
</ol>