Speed of air over the lower wing, \(V_{1}=180 km / h =50 m / s\)

Speed of air over the upper wing, \(V_{2}=234 km / h =65 m / s\)

Density of air, \(\rho=1 kg m ^{-3}\)

Pressure of air over the lower wing \(=P_{1}\)

Pressure of air over the upper wing \(=P_{2}\)

The upward force on the plane can be obtained using Bernoulli's equation as:

\(P_{1}+\frac{1}{2} \rho V_{1}^{2}=P_{2}+\frac{1}{2} \rho V_{2}^{2}\)

\(P_{1}-P_{2}=\frac{1}{2} \rho\left(V_{2}^{2}-V_{1}^{2}\right)\)

The upward force (\(F\)) on the plane can be calculated as:

\(\left(P_{1}-P_{2}\right) A\)

\(=\frac{1}{2} \rho\left(V_{2}^{2}-V_{1}^{2}\right) A\)

\(=\frac{1}{2} \times 1 \times\left((65)^{2}-(50)^{2}\right) \times 50\)

\(=43125 N\)

Using Newton's force equation, we can obtain the mass \((m)\) of the plane as:

\(F=m g\)

\(\therefore m=\frac{43125}{9.8}\)

\(=4400.51 kg\)

\(\sim 4400 kg\)

Hence, the mass of the plane is about \(4400\; kg\).