In a ten litre vessel, the total pressure of a gaseous mixture containing $H_{2}, N_{2}$ and $CO_{2}$ is $9.8$ $atm$. The partial pressures of $H_{2}$ and $N_{2}$ are $3.7$ and $4.2$ $atm$, respectively. The partial pressure of $CO_{2}$ is:

According to Dalton's law, the total pressure of a gas mixture is the sum of the partial pressures of the individual gases. To find the partial pressure of CO2, subtract the sum of the given partial pressures of H2 and N2 from the total pressure. The calculation is 9.8 atm minus (3.7 atm plus 4.2 atm), which results in a partial pressure of 1.9 atm for CO2.

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