The phrase "in weight of" is correct and usable in written English.
It is typically used to refer to the heaviness of something. For example, "The suitcase was surprisingly light in weight of its size."
Consumption was determined by the difference in weight of foods from pre-assessment to post-assessment.
What it lacks in length it more than makes up in weight of sound.
An advantage is the reduction in weight of the material handled.
Reduction in weight of the patch due to skewed configuration has been brought out.
Specimens were produced by an injection moulding process with 3% in weight of nanoclay.
His price was high 4,000 pounds (in weight) of gold but despite considerable opposition Stilicho persuaded the Roman Senate to pay it.
The observed change in weight of galaxy clusters over the last 7 billion years agrees very well with predictions for a Universe dominated by dark energy.
From the increase in weight of the absorption tube containing the desiccant, the amount of hydrogen oxidized can be calculated.
In a prophylactic growth assay, the increase in weight of young animals given different amounts of the vitamin is measured.
Considering how a typical bone is loaded, this implies an increase in weight of about a factor of 10.
What you can do in movies -- what I did in 'Weight of Water' -- is have the characters commit heinous acts, and you can feel sympathy for them, sympathy for marginal acts".
