The law of conservation of energy<span> states that the total </span>energy<span> of an </span>isolated system<span> remains constant. </span><span>Energy can neither be created nor destroyed; rather, it transforms from one form to another. For instance, </span>chemical energy<span> can be </span>converted<span> to </span>kinetic energy<span> in the explosion of a stick of </span>dynamite<span>.</span>
Use the formula: <span><span><span><span>P1</span><span>V1</span></span><span>T1</span></span>=<span><span><span>P2</span><span>V2</span></span><span>T2</span></span></span>
We know that we want <span><span>P1</span>=<span>P2</span></span> so the pressure will remain constant, so we can say that: <span><span><span><span>P1</span><span>V1</span></span><span>T1</span></span>=<span><span><span>P1</span><span>V2</span></span><span>T2</span></span></span>
Plug in the values we know: <span><span><span><span>P1</span>⋅0.250L</span><span>283K</span></span>=<span><span><span>P1</span>⋅0.285L</span><span>T2</span></span></span>
(Remember that temperature must be done in Kelvin.)
Cross multiply: <span><span>T2</span>⋅<span>P1</span>⋅0.250L=283K⋅<span>P1</span>⋅0.285L</span>
Divide both sides by <span>P1</span>.
<span><span>T2</span>⋅0.250L=283K⋅0.285L</span>
<span><span>T2</span>=<span><span>283K⋅0.285L</span><span>0.250L</span></span></span>
<span><span>T2</span>=323K</span>
(This is also <span>50˚C</span>.)
Answer:
the pendulum oscillates 60 times in 6 secs.
so taken to oscillate once = 6 /60 secs = 0.1 secs
so time period of the pendulum is 0.1 secs.
