Let's break down the estimation of the mass of liquid water on Earth step by step.

Estimating the total water mass:
The Earth's total water mass is estimated to be around 1.386 billion cubic kilometers (km³) or 1,386,000,000,000,000,000,000 liters. This includes all forms of water (oceans, ice caps, groundwater, and water in the atmosphere). Note that this value is an estimation, and the actual mass could differ slightly.

Estimating the mass of liquid water:
To estimate the mass of liquid water, we need to consider the water in the oceans, lakes, rivers, groundwater, and the water contained in plants and animals.

Oceans: About 97.5% of Earth's water is in the oceans, which equals approximately 1,351,225,000,000,000,000,000 liters.
Freshwater: The remaining 2.5% of Earth's water is freshwater, which is approximately 34,650,000,000,000,000,000 liters. However, most of the freshwater is in ice caps and glaciers (about 68.7% of freshwater). So, the liquid freshwater is about 31.3% of the total freshwater, which equals roughly 10,847,450,000,000,000,000 liters.
The total mass of liquid water (including saline and freshwater) would be around 1,362,072,450,000,000,000,000 liters.

Converting liters to ounces:
1 liter equals 33.814 ounces. To convert the total mass of liquid water to ounces, multiply the value in liters by the conversion factor:

1,362,072,450,000,000,000,000 liters * 33.814 ounces/liter ≈ 46,036,000,000,000,000,000,000 ounces.

This estimation does not take into account water vapor in the atmosphere or water contained in plants and animals, as they represent a relatively tiny fraction of the Earth's total water mass.

Regarding Peter Gleick's work on Climate and Water, his research focuses on the interconnectedness of climate change, water resources, and human societies. He discusses the challenges and solutions for water management and adaptation to climate change, as well as the importance of accurate data and models for making informed decisions. Gleick's work is not directly related to the estimation of the Earth's total water mass but instead focuses on the impacts of climate change on water resources and the need for sustainable water management.

In conclusion, my estimation is that the mass of liquid water on Earth is approximately 46,036,000,000,000,000,000,000 ounces. Please keep in mind that this is an estimation, and the actual mass might be different.
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