Chamber \(\mathrm{X}\) contains monatomic ideal gas \(\mathrm{X}\). The gas particles have a root-mean-square speed of \(42 \mathrm{~m} / \mathrm{s}\). Chamber Y, identical to chamber X, contains a different monatomic ideal gas with the same mass as the gas in chamber \(\mathrm{X}\) but with twice the number of gas particles as the gas in chamber \(\mathrm{X}\). If the absolute temperatures in the chambers are \(T_{X}\) and \(T_{Y}=1.2 T_{X}\), what is the rootmean-square speed of the particles in \(Y\) ?