Two gas cells in a measuring instrument must reach the same final temperature. Each cell undergoes two temperature changes in order.
| Gas cell | Initial temperature | First temperature change | Second temperature change |
|---|---|---|---|
| X | −62 ∘C-62\,^\circ\mathrm{C}−62∘C | increase of 28 K | decrease of 9 ∘C9\,^\circ\mathrm{C}9∘C |
| Y | 225 K | increase of 12 ∘C12\,^\circ\mathrm{C}12∘C | decrease of x Kx\,\mathrm{K}xK |
After both changes, the gas cells have the same final temperature.
Calculate the value of xxx.
Show your working.
108 exam-style questions on Edexcel GCSE Physics 14.3 Gas pressure and temperature, covering 14.3.1 Gas pressure and particle motion, 14.3.2 Temperature and pressure at constant volume, 14.3.3 Absolute zero and the kelvin scale, 14.3.4 Compressing and expanding gases, 14.3.5 Volume and pressure at constant temperature, and 14.3.6 Doing work on a gas. Each one has a worked solution and a mark scheme showing where the marks go.