Consider the equipment connected to a closed$-$end manometer, as shown in Figure $1.$ When the equipment is fully open to the atmosphere, the difference in the manometer liquid height in the closed leg of the manometer is $h1.$ When the equipment is in operation, a pressure gauge on the equipment reads $50mmHg,$ and the difference between the liquid level in the closed leg of the manometer and the liquid level connected to the equipment is now $30cm$ more than it was when the equipment was open. Assume that there is a partial vacuum pressure above the liquid in the closed end of the manometer and the ambient pressure is $710mmHg.$ Estimate the density of the liquid in the manometer.